. cl as s - ph ] 2 7 O ct 2 00 4 A New Kinematical Derivation of the Lorentz Transformation and the Particle Description of Light
نویسنده
چکیده
The Lorentz Transformation is derived from only three simple postulates: (i) a weak kinematical form of the Special Relativity Principle that requires the equivalence of reciprocal space-time measurements by two different inertial observers; (ii) Uniqueness, that is the condition that the Lorentz Transformation should be a single valued function of its arguments; (iii) Spatial Isotropy. It is also shown that to derive the Lorentz Transformation for space-time points lying along a common axis, parallel to the relative velocity direction, of two inertial frames, postulates (i) and (ii) are sufficient. The kinematics of the Lorentz Transformation is then developed to demonstrate that, for consistency with Classical Electrodynamics, light must consist of massless (or almost massless) particles: photons.
منابع مشابه
. cl as s - ph ] 1 9 A ug 2 00 5 Derivation of the Lorentz Force Law , the Magnetic Field Concept and the Faraday – Lenz Law using an Invariant Formulation of the Lorentz Transformation
It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4–vector scalar products. This implies the existence of invariant length intervals analogous to invariant proper time intervals. The formalism is shown to provide a short derivation of the Lorentz force law of classical electrodynamics, and the conventional defin...
متن کاملs . cl as s - ph ] 1 4 M ay 2 00 3 Is the temperature as a Lorentz scalar ?
The thermodynamic interaction of a free Fermion system is alternatively described by the coupling of particles with the vacuum of a scalar pseudo boson which features a self-interaction. The proper temperature is shown as a Lorentz scalar in a Lorentz invariant framework. At thermodynamic equilibrium, the Lorentz transformation of temperature is investigated based on the conceptions of the rela...
متن کامل. ge n - ph ] 6 O ct 2 00 5 The Local Space - Time Lorentz Transformation : a New Formulation of Special Relativity Compatible with Translational Invariance
The apparent times and positions of moving clocks as predicted by both 'non-local' and 'local' Lorentz Transformations are considered. Only local transformations respect translational invariance. Such transformations change temporal but not spatial intervals, so breaking space-time exchange symmetry and forbidding rel-ativity of simultaneity and length contraction. Two satellite-borne experimen...
متن کامل. cl as s - ph ] 1 8 O ct 2 00 5 1 A precision test of the isotropy of the speed of light using rotating cryogenic optical cavities
A test of Lorentz invariance for electromagnetic waves was performed by comparing the resonance frequencies of two stable optical resonators as a function of orientation in space. The crystalline resonators were operated at 3.4 K in a cryostat employing a pulse-tube refrigerator. A new analysis yields the Robertson-Mansouri-Sexl theory parameter combination β − δ − 1/2 = (−0.6 ± 2.1 ± 1.2) · 10...
متن کامل. cl as s - ph ] 1 0 Ja n 20 01 SPACE - TIME EXCHANGE INVARIANCE : SPECIALRELATIVITY AS A SYMMETRY PRINCIPLE
Special relativity is reformulated as a symmetry property of space-time: Space-Time Exchange Invariance. The additional hypothesis of spatial homogeneity is then sufficient to derive the Lorentz transformation without reference to the traditional form of the Principle of Special Relativity. The kinematical version of the latter is shown to be a consequence of the Lorentz transformation. As a dy...
متن کامل